Question

find the median of the data 2,5,9,3,4,5​

Answer 1

Given,

2,5,9,3,4,5

Arranging the above data in ascending order, we get,

→→ 2,3,4,5,5,9

Here,

• Number of observations = 6

So,

$\small \text{Median = } \frac{\rm{\bigg(\frac{n}{2}\bigg)^{th} observations +\bigg\{ \bigg(\frac{n}{2}\bigg) + 1 \bigg\}^{th} observations}}{2} \\ \\ \tt \to \frac{{\bigg( \frac{6}{2} \bigg)}^{th} + \bigg(\frac{6}{2} + 1\bigg)^{th}}{2} \\ \\ \tt \to \frac{ {3}^{rd} \: observation + {4}^{th} \:observations }{2} \\ \\ \to \large \sf \frac{4 + 5}{2} \\ \\ \to \large \sf \frac{9}{2} \: \: = \red{ 4.5}$

Hence,

• Median is 4.5